Question

find five rational numbers between: 1/2 and 6/7​

Answer 1

Answer:

Rational number of 1/2 and 5/7 Are ....

1/2x7/7= 7/14.

5/7x2/2 =10/14.

Rational Number-: 8/14, 9/14,

Step-by-step explanation:

To find a rational number halfway between any two rational numbers given in fraction form, add the two numbers together and divide their sum by 2. Find a rational number halfway between the two fractions in each pair.

Now take the first number and multiply and divide it by 6 i.e. Also take the second number and multiply and divide it by 6 i.e. The values of these number you can check will be between 1 & 2. Actually between any two number there are infinite number of rational numbers.

1/2 is 0.5

7/5 is 1.2

in between them 0.6,0.7,0.8,0.9,1.0 

in rational form 6/10,7/10,8/10,9/10,1

1/4 is 0.25

2/3 is 0.66

in between them 0.30,0.35,0.45,0.50,0.60

in rational form 3/10,35/100,45/100,1/2,6/10

1/2 x 5=1/10

7/5 x 2=7/10 now denominator is same 

2/10,3/10,4/10,5/10.........

1/4 x 3=1/12

2/3 x 4=2/12

there is no rational number between 1/12 and 2/12 

1/12 x 10 =10/120

2/12 x 10=20/120

11/120,12/120,13/120,14/120,15/120

-5/7 x 4=-5/28

3/4 x 4=3/28

-5/28,-4/28,-3/28,-2/28,-1/28....

Answer 2

rational numbers between1/2 and 6/7 is

1/2 (1/2+6/7) = 19/28

1/2 , 19/28 , 20/28 , 21/28, 22/28 ,23/28 , 6/7